EXPANSIVE MAPPINGS IN NON-NEWTONIAN METRIC SPACE
ASHA RANI
Department of Mathematics, SRM University, Haryana, Sonepat- 131001, India.
KUMARI JYOTI *
Department of Mathematics, SRM University, Haryana, Sonepat- 131001, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we introduce expansive mappings in the setting of non-Newtonian (nN) metric space and prove some fixed point results for these mappings. We further extend this concept to nN-β-ψ–expansive mappings and prove corresponding fixed point results. Further, some examples are discussed to illustrate our results.
Keywords: Non Newtonian metric space, expansive mappings, fixed point theorems, nN-β-ψ- expansive mapping